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45269672 = 2373189293
BaseRepresentation
bin1010110010110…
…0001010101000
310011011221022112
42230230022220
543042112142
64254141452
71056533360
oct254541250
9104157275
1045269672
112360a858
12131b1888
1394c02b6
1460259a0
153e93382
hex2b2c2a8

45269672 has 64 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 18501120.

The previous prime is 45269663. The next prime is 45269677. The reversal of 45269672 is 27696254.

It is not an unprimeable number, because it can be changed into a prime (45269677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154358 + ... + 154650.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 245269672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45269672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

45269672 is an abundant number, since it is smaller than the sum of its proper divisors (56336728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45269672 is a wasteful number, since it uses less digits than its factorization.

45269672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 45269672 is about 6728.2740728957. The cubic root of 45269672 is about 356.3984303204.

The spelling of 45269672 in words is "forty-five million, two hundred sixty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 89 124 178 217 248 293 356 434 586 623 712 868 1172 1246 1736 2051 2344 2492 2759 4102 4984 5518 8204 9083 11036 16408 18166 19313 22072 26077 36332 38626 52154 63581 72664 77252 104308 127162 154504 182539 208616 254324 365078 508648 730156 808387 1460312 1616774 3233548 5658709 6467096 11317418 22634836 45269672